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Find the general solution of the differe...

Find the general solution of the differential equation: `(tan^-1y - x)dy=(1+y)dx.`

A

`x= (tan^(-1) y + 1) + Ce^(- tan^(-1)y)`

B

`x=(tan^(-1) y -1) + Ce^(- tan^(-1)y)`

C

`x=(tan^(-1) x -1) + Ce^(- tan^(-1) x)`

D

`x = (tan^(-1) x + 1) + Ce^(-tan^(-1)x)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DISHA PUBLICATION-DIFFERENTIAL EQUATIONS -Exercise-2 : Concept Applicator
  1. The solution of differential equation (dy)/(dx) = e^(x-y) + x^(2)e^(-y...

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  2. Let f be a non-negative function defined on the interval [0,1]. If int...

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  3. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

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  4. In a culture, the bacteria count is 1,00,000. The number is increas...

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  5. The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2), is

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  6. The solution of the differential equation x^(3)(dy)/(dx)+4x^(2) tany=e...

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  7. Solution of the differential equation ((x+y-1)/(x+y-2))(dy)/(dx)=((x+y...

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  8. Solve (1+e^((x)/(y)))dx + e^((x)/(y)) (1-(x)/(y))dy = 0

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  9. The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (...

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  10. v34

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  11. Solve: dy/dx=(y f\'(x)-y^2)/f(x), where f(x) is a given function of x

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  12. The solution of the differential equation (x+y)^(2)(dy)/(dx) = a^(2...

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  13. The particular solution of the differential equation sin^(-1)((d^2 y)/...

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  14. Solution of differential equation (x^(2) -2x + 2y^(2)) dx + 2xy dy = ...

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  15. Solution of differential equation (dy ) /( dx) +(x ) /( 1 - x^2) y= ...

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  16. Find the general solution of the differential equation: (tan^-1y - x)d...

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  17. Which of the following is a second order differential equatoin

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  18. The curve that satisfies the differential equation y'=(x^(2) + y^2)/(2...

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  19. If phi(x)=int (phi(x))^-2 dx and phi(1)=0 then phi(x) is

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  20. Solution of the differential equation (dx)/(dy)-(xInx)/(1+Inx)=e^y/(1...

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